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Finding the Third Proportional to 3,284 and 5,764

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Solution

The third proportional to 3,284 and 5,764 is: 10,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284 : 5,764 = 5,764 : x
  2. Step 2: Convert to fraction form
    3,284/5,764 = 5,764/x
  3. Step 3: Cross multiply
    3,284x = 5,764 × 5,764
  4. Step 4: Simplify right side
    3,284x = 33,223,696
  5. Step 5: Solve for x
    x = 33,223,696/3,284
  6. Step 6: Final answer
    x = 10,116.84

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.